Finding the Third Proportional to 3,657.50 and 5,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.50 : 5,212.50 = 5,212.50 : x
2. Step 2: Convert to fraction form
   3,657.50/5,212.50 = 5,212.50/x
3. Step 3: Cross multiply
   3,657.50x = 5,212.50 × 5,212.50
4. Step 4: Simplify right side
   3,657.50x = 27,170,156.25
5. Step 5: Solve for x
   x = 27,170,156.25/3,657.50
6. Step 6: Final answer
   x = 7,428.61